Demonstration device for discrete mathematical probability experiment

Abstract

The invention discloses a discrete mathematical probability experiment demonstration device, and belongs to the technical field of teaching experiment auxiliary equipment.The discrete mathematical probability experiment demonstration device comprises a test box, a ball inlet is formed in the top surface of the test box, a stirring box is arranged on the side, close to the ball inlet, in the test box, a stirring mechanism is arranged at the bottom of the stirring box, and a first opening is formed in one side of the stirring box; the first opening is communicated with a ball outlet channel, the ball outlet channel is communicated with the outside of the test box, a limiting mechanism is arranged above the ball outlet channel, and the limiting mechanism is matched with the first opening. Experimental balls are put into the stirring box through the ball inlet, the balls are fully stirred through the stirring mechanism, and then the limiting mechanism is started to discharge the balls in the stirring box. The demonstration balls are fully dispersed by arranging the stirring mechanism, so that the accuracy of probability events is ensured; and meanwhile, the ball outlet channel only discharges one ball every time through the limiting mechanism, so that the randomness of an experimental result is ensured.

Description

Technical Field

[0001] This invention belongs to the technical field of teaching experimental auxiliary equipment, and in particular relates to a demonstration device for discrete mathematical probability experiments. Background Technology

[0002] Mathematics is a discipline that studies concepts such as quantity, structure, change, space, and information; from a certain perspective, it belongs to the formal sciences. In university mathematics probability courses, probability is difficult to derive through formulas, and teachers often simply use a coin toss, record the number of heads and tails, perform simple statistics, and then explain the concepts. This approach is not intuitive enough, making it difficult for students to grasp the relevant knowledge.

[0003] To ensure the accuracy of probabilistic events, it is sometimes necessary to conduct multiple experiments to randomly select and demonstrate values. While existing probabilistic event demonstration devices are intuitive and clear, when demonstrating with a demonstration ball, the ball is placed in a demonstration slot without sufficient discretization. Since probabilities are distributed across possible values ​​according to a certain pattern, a discrete demonstration ball would better guarantee the randomness of the demonstrated probabilities. Furthermore, when collecting probability experimental data multiple times, the demonstration device is relatively simple and requires repeated operation, making it cumbersome to use. Summary of the Invention

[0004] The purpose of this invention is to provide a demonstration device for discrete mathematical probability experiments to solve the problems existing in the prior art.

[0005] To achieve the above objectives, the present invention provides the following solution: The present invention provides a demonstration device for discrete mathematical probability experiments, including a test chamber, the top surface of which is provided with a ball inlet, a stirring tank is provided inside the test chamber near the ball inlet, a stirring mechanism is provided at the bottom of the stirring tank, a first opening is provided on one side of the stirring tank, the first opening is connected to a ball outlet channel, the ball outlet channel is connected to the outside of the test chamber, and a limiting mechanism is provided above the ball outlet channel, the limiting mechanism being adapted to the first opening.

[0006] Preferably, the limiting mechanism includes a first connecting plate fixed to the top of the test chamber, the first connecting plate being fixed to the outer wall of the mixing tank, a first sliding groove being provided in the first connecting plate, a first slider being slidably connected in the first sliding groove, a first driving part being drivenly connected to the first slider, the first driving part being fixed to the top surface of the first connecting plate, a first transmission rod being fixed to the bottom surface of the first slider, and a baffle being fixed to the bottom surface of the first transmission rod, the baffle being adapted to the ball outlet channel.

[0007] Preferably, the first driving unit includes a first motor fixedly connected to the top surface of the first connecting plate, the output shaft of the first motor being fixedly connected to a first lead screw, and the first lead screw being threadedly connected to the top of the first slider.

[0008] Preferably, the connection between the test chamber and the ball outlet channel is provided with a ball outlet, and a monitoring unit is provided above the ball outlet. The monitoring unit includes a second connecting plate fixedly connected to the test chamber. A camera is installed on the bottom surface of the second connecting plate. A blocking member is fixedly connected to one end of the second connecting plate away from the inner wall of the test chamber. The blocking member is located above the ball outlet channel.

[0009] Preferably, the blocking member includes a third connecting plate fixedly connected to the second connecting plate, a first electric telescopic rod fixedly connected to the bottom surface of the third connecting plate, a first connecting block fixedly connected to the bottom surface of the first electric telescopic rod, a first through hole provided in the first connecting block, a first connecting frame fixedly connected and connected to the side of the first through hole near the ball outlet, a first cavity provided in the first connecting frame, and a pushing member fixedly connected in the first cavity.

[0010] Preferably, the pushing member includes a second electric telescopic rod fixedly connected to the first cavity, and a push plate is fixedly connected to the output end of the second electric telescopic rod.

[0011] Preferably, the bottom surface of the mixing tank is provided with a second sliding groove, and the mixing mechanism includes a sliding part fixedly connected to the test chamber, the sliding part being fixedly connected to the mixing part, the sliding part including a slide rail fixedly connected to the bottom surface of the test chamber, the slide rail being located below the mixing tank, a second slider being slidably connected to the slide rail, the mixing part being fixedly connected to the second slider, a second motor being fixedly connected to one end of the slide rail away from the inner wall of the test chamber, a second lead screw being fixedly connected to the output shaft of the second motor, and the second lead screw being slidably connected to the second slider.

[0012] Preferably, the stirring part includes a stirring motor fixedly connected to the top surface of the second slider, the output shaft of the stirring motor passes through the second slide groove and extends into the stirring box, and a stirring shaft is fixedly connected to one end of the output shaft of the stirring motor extending into the stirring box, and a plurality of stirring rods are fixedly connected at equal intervals on the stirring shaft.

[0013] Preferably, a second opening is provided above the ball outlet channel.

[0014] This invention discloses the following technical effects: Experimental spheres are placed into a mixing tank through an inlet, thoroughly stirred by a stirring mechanism, and then a limiting mechanism is activated to discharge the spheres from the mixing tank. This invention ensures the accuracy of probabilistic events by setting the stirring mechanism to fully disperse the demonstration spheres; simultaneously, the limiting mechanism ensures that only one sphere is discharged from the outlet channel at a time, guaranteeing the randomness of the experimental results. Attached Figure Description

[0015] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. In the drawings:

[0016] Figure 1 This is a schematic diagram of the external structure of the demonstration device for discrete mathematical probability experiments of the present invention;

[0017] Figure 2 This is a schematic diagram of the internal structure of the demonstration device for discrete mathematical probability experiments of the present invention;

[0018] Figure 3 for Figure 2 A magnified view of part A in the image.

[0019] In the diagram: 1. Test chamber; 2. Inlet; 3. Mixing tank; 4. First opening; 5. Ball outlet channel; 6. First connecting plate; 7. First slider; 8. First transmission rod; 9. Baffle; 10. First motor; 11. First lead screw; 12. Ball outlet; 13. Second connecting plate; 14. Camera; 15. Third connecting plate; 16. First electric telescopic rod; 17. First connecting block; 18. First through hole; 19. First connecting frame; 20. First cavity; 21. Second electric telescopic rod; 22. Push plate; 23. Second chute; 24. Slide rail; 25. Second slider; 26. Second motor; 27. Second lead screw; 28. Mixing motor; 29. ​​Mixing shaft; 30. Mixing rod; 31. Second opening; 32. First chute. Detailed Implementation

[0020] Discrete probability experiments are an important teaching and research tool, widely used in fields such as statistics, computer science, and financial engineering. To help students and researchers better understand probability concepts and their applications, various demonstration devices for discrete probability experiments have emerged. These devices not only visually demonstrate probability phenomena but also deepen learners' understanding and memory through hands-on operation.

[0021] The earliest forms of demonstration devices for discrete mathematical probability experiments can be traced back to manual devices from the late 19th and early 20th centuries. These devices typically consisted of simple mechanical structures, such as coin tosses and dice boxes. Although simple in structure, these early manual devices could visually demonstrate basic probability phenomena, such as binomial and uniform distributions. For example, a coin toss, by repeatedly tossing a coin and recording the number of heads and tails, helped students understand the concept of the binomial distribution.

[0022] With the development of electrical technology, electrically powered discrete mathematical probability experimental devices began to appear in the mid-20th century. These devices, driven by motors, can automatically conduct probability experiments, greatly improving efficiency and accuracy. For example, an electric coin tossing machine can control the frequency and force of coin tosses via a motor, making the experimental results more stable and reliable. Furthermore, electric devices incorporate counters and displays, enabling real-time recording and display of experimental results, facilitating data analysis for students and researchers.

[0023] The rapid development of computer technology in the 21st century has brought revolutionary changes to demonstration devices for discrete mathematical probability experiments. Modern computer-aided devices can not only simulate complex probabilistic processes but also intuitively display experimental results through graphical interfaces. For example, computer-based random number generators can simulate various discrete distributions, such as Poisson and geometric distributions. Furthermore, computer-aided devices can be combined with statistical software for big data analysis and visualization, providing powerful support for teaching and research.

[0024] The coin toss machine is one of the most common demonstration devices used in discrete probability experiments. It helps students understand the concepts of binomial distribution and Bernoulli trials by simulating the process of tossing a coin. Modern coin tosses typically consist of a motor, a coin tosser, a counter, and a display. The motor drives the coin tosser, the counter records the number of heads and tails, and the display shows the results in real time. Some advanced coin tosses also have data storage capabilities, allowing them to save multiple sets of experimental data for later analysis.

[0025] The dice box is another commonly used demonstration device for discrete probability experiments. It helps students understand the concepts of uniform distribution and other discrete distributions by simulating the process of rolling dice. Modern dice boxes typically consist of a motor, a dice thrower, a counter, and a display. The motor drives the dice thrower, the counter records the number of times each number appears, and the display shows the experimental results in real time. Some advanced dice boxes are equipped with multiple dice to simulate more complex probability processes.

[0026] Random number generators are an important component of modern demonstration devices for discrete mathematical probability experiments. They can generate various types of random numbers, such as those from uniform, normal, and Poisson distributions. Modern random number generators are typically based on computer algorithms, such as linear congruential methods and Myerson's rotation method. These algorithms can generate high-quality random numbers to meet the needs of different application scenarios. Random number generators can be used independently or combined with other experimental devices to conduct more complex probability experiments.

[0027] A probability turntable is an experimental device that visually demonstrates discrete distributions. It helps students understand the probability of different events by simulating the rotation of the turntable. Modern probability turntables typically consist of a motor, a turntable, partition markers, a counter, and a display. The motor drives the turntable to rotate, the partition markers divide the turntable into different areas, each area representing the probability of an event. The counter records the number of times the turntable stops in each area, and the display shows the experimental results in real time. Some advanced probability turntables are also equipped with adjustable probability modules, allowing users to adjust the probability of each event using sliders or knobs.

[0028] A multi-stage linkage mechanism is an experimental device for simulating complex probabilistic processes. It demonstrates the dependencies between multiple events through several interconnected components. Modern multi-stage linkage mechanisms typically consist of multiple turntables, linkages, transmission gears, sensors, and a control system. Each turntable represents an independent event; the linkages transmit the result of the previous turntable to the next; the transmission gears ensure synchronous movement between the turntables; the sensors detect the position and result of each turntable; and the control system performs a comprehensive analysis based on the results from each turntable to derive the final experimental result. Multi-stage linkage mechanisms can be used to simulate complex probabilistic models such as Markov chains and Bayesian networks.

[0029] The mechanical structure design of demonstration devices for discrete mathematical probability experiments is crucial for their performance and reliability. Modern devices typically employ precision mechanical components, such as motors, gears, and linkages, to ensure the accuracy and stability of the experimental process. For example, the coin toss mechanism of a coin toss machine needs precise control over the coin's throwing angle and force to ensure consistent experimental results. The transmission gears in multi-stage linkage mechanisms require high precision and low friction to ensure synchronous movement between the turntables.

[0030] Sensor technology plays a crucial role in demonstration devices for discrete mathematical probability experiments. Modern devices are typically equipped with various types of sensors, such as photoelectric sensors, magnetic sensors, and pressure sensors, to detect various parameters during the experiment. For example, a photoelectric sensor in a dice-rolling box can detect the number rolled on the dice, while a magnetic sensor in a probability wheel can detect the wheel's position. The high precision and rapid response of sensors make experimental results more accurate and reliable.

[0031] Computer control technology is the core of modern demonstration devices for discrete mathematical probability experiments. Modern devices are typically equipped with microprocessors or microcontrollers, enabling precise control of the experimental process through programming. For example, the microprocessor in a random number generator can generate high-quality random numbers according to a preset algorithm, while the microcontroller in a multi-stage linkage mechanism can perform real-time control based on feedback signals from sensors. Computer control technology not only improves the automation level of experiments but also makes the recording and analysis of experimental results more convenient.

[0032] Data analysis and visualization techniques are essential components of modern demonstration devices for discrete mathematical probability experiments. Modern devices typically feature data storage and processing capabilities, allowing for the storage of multiple sets of experimental data for subsequent analysis. Furthermore, these devices are equipped with graphical interfaces that display experimental results in real time, helping students and researchers intuitively understand probabilistic phenomena. For example, a coin toss machine's display can show the frequency and proportion of heads and tails, while a random number generator's graphical interface can display the distribution of generated random numbers.

[0033] Demonstration devices for discrete probability experiments have wide applications in education. They can help students intuitively understand probability concepts, improving their learning interest and effectiveness. For example, in middle and high school mathematics courses, teachers can use coin tosses and dice boxes for experimental teaching to help students understand the concepts of binomial and uniform distributions. In statistics courses, teachers can use random number generators and probability roulette wheels for experimental teaching to help students understand the properties of various discrete distributions.

[0034] Discrete mathematical probability experimental demonstration devices also have important applications in scientific research. They can be used to verify theoretical models and explore new probabilistic phenomena. For example, in computer science, researchers can use random number generators to perform Monte Carlo simulations to verify the performance and stability of algorithms. In financial engineering, researchers can use multi-level interconnected mechanisms to conduct risk assessments and optimize investment strategies.

[0035] Discrete mathematical probability experimental demonstration devices also have wide applications in engineering practice. They can be used for quality control, fault diagnosis, system optimization, and other areas. For example, in manufacturing, companies can use dice-rolling boxes to conduct product quality inspections and determine the product pass rate through statistical analysis. In the communications field, companies can use multi-level linkage mechanisms to perform network simulations and optimize network structure and transmission efficiency.

[0036] With the development of artificial intelligence technology, future demonstration devices for discrete mathematical probability experiments will be more intelligent. For example, the devices can automatically adjust experimental parameters and optimize experimental results through machine learning algorithms. Simultaneously, the devices can also utilize natural language processing technology to achieve voice interaction with users, improving the user experience.

[0037] With the development of IoT technology, future demonstration devices for discrete mathematical probability experiments will become more networked. For example, the devices can connect to cloud servers via wireless communication technology, enabling remote control and data sharing. Simultaneously, the devices can interact with other users through network platforms, sharing experimental experiences and results.

[0038] With the development of microelectronics and materials science, future demonstration devices for discrete mathematical probability experiments will be further miniaturized. For example, the devices can be integrated to reduce size and weight, making them easier to carry and use. Furthermore, wearable technology can enable seamless connectivity with users, further enhancing ease of use.

[0039] With advancements in technology and evolving educational philosophies, an increasing number of patented technologies are being applied to demonstration devices for discrete mathematical probability experiments. These technologies not only improve the accuracy and reliability of these devices but also enhance their practicality and engagement. Below are some typical patented technologies:

[0040] Intelligent stirring system: Utilizing advanced sensors and control systems, this system achieves precise stirring and mixing of experimental materials. It can monitor the distribution of experimental materials within the container in real time and adjust the stirring speed and direction as needed.

[0041] Multi-mode experimental system: Through modular design, this system enables switching between multiple experimental modes. It allows for flexible configuration of experimental objects and counting mechanisms according to experimental needs, thus meeting the requirements of different types of experiments.

[0042] Remote monitoring system: This system utilizes network technology to enable remote monitoring and control of the demonstration device. It can transmit experimental results and status information in real time, facilitating remote teaching and research for educators and researchers.

[0043] Interactive teaching systems: These systems combine virtual reality or augmented reality technologies to provide an immersive learning experience. They can simulate realistic experimental environments, helping students gain a deeper understanding of discrete mathematical probability concepts.

[0044] Despite the progress made by the existing demonstration devices, there are still some areas that need improvement:

[0045] Improving accuracy: By improving the design of the stirring and mixing mechanism, the uniformity of the experimental materials can be increased, thereby further improving the accuracy of the experimental results.

[0046] Enhance practicality: Design more flexible and practical demonstration devices based on actual needs. For example, demonstration devices suitable for students of different age groups can be developed, or customized designs can be made for experimental needs in different subject areas.

[0047] Enhance engagement: Utilize modern technologies such as virtual reality and augmented reality to enhance the fun of the demonstration devices. This can not only attract students' attention but also stimulate their learning interest and exploratory spirit.

[0048] Enhance data analysis: Utilize advanced data analysis techniques to deeply mine and analyze experimental results. This helps to discover potential patterns and trends, providing valuable reference information for educators and researchers.

[0049] A demonstration device for discrete mathematical probability experiments is disclosed in the prior art. This invention relates to a demonstration device for discrete mathematical probability experiments and belongs to the technical field of teaching experimental auxiliary equipment. Its structure includes a box, a cover plate, a primary mixing tank, a moving device, a retractable collection box, a stirring mechanism, a flip-plate control mechanism, a ball-discharging plate control mechanism, a ball-pushing device, multiple ball-infeeding flip-plates, and at least one ball-blocking plate. The bottom plate of the box has a ball-passing hole, a ball-blocking plate is slidably mounted, and a retractable collection box is slidably connected to it. The moving device is fixed to the lower end of the box, and the stirring mechanism and the ball-pushing device are fixed inside the box. The box is fixedly connected to the primary mixing tank. Multiple ball-infeeding flip-plates are installed in the primary mixing tank through the flip-plate control mechanism, which is fixed to the box. The rear side plate of the box is hinged to the primary mixing tank, and a crossbar is fixed to the rear side plate. The crossbar is connected to the ball-discharging plate control mechanism, which is fixed to the box.

[0050] Technical features:

[0051] Intuitive and continuous operation: The device is intuitive and can be operated continuously, making it easy for students to understand and improving their learning efficiency.

[0052] Fully Discretized and Mixed: The demonstration ball is fully discretized and mixed to ensure the accuracy of probabilistic events.

[0053] Automatic collection: The demonstration balls are automatically collected after the demonstration ends, saving time and effort.

[0054] Specific structure:

[0055] Box body: Equipped with ball passage hole, ball baffle plate, retractable collection box, stirring mechanism, ball pushing device, etc.

[0056] Primary mixing tank: Fixedly connected to the box body, containing multiple ball-collecting flaps.

[0057] Mobility device: Includes four telescopic outriggers and four swivel casters for easy movement and fixation of the device.

[0058] Stirring mechanism: includes a motor and stirring rod, used to mix the demonstration balls.

[0059] Flip-up control mechanism: Used to control the opening and closing of the goal flip-up mechanism.

[0060] Ball delivery plate control mechanism: used to control the opening and closing of the ball delivery plate.

[0061] Ball pushing device: including a ball pushing hydraulic cylinder, a push plate and a guide plate assembly, used to push the demonstration ball.

[0062] In university mathematics probability courses, probability is difficult to derive through formulas. Teachers often simply use a coin toss, recording the number of heads and tails, and then perform simple statistics and explanations. This is not intuitive enough, and students struggle to grasp the relevant knowledge. To ensure the accuracy of probabilistic events, it is sometimes necessary to conduct multiple experiments to randomly select and demonstrate the probabilities. While existing probability demonstration devices are intuitive, the demonstration balls are placed in a slot without sufficient discretization. Since probabilities are distributed across possible values ​​according to a certain pattern, discrete demonstration balls would better guarantee the randomness of the probabilities. Furthermore, collecting probability data multiple times is cumbersome due to the relatively simple device, requiring repeated operation and hindering the collection of balls. This invention aims to provide a discrete mathematical probability experiment demonstration device that is more intuitive and can be operated continuously, making it easier for students to understand and improving learning efficiency. Simultaneously, the fully discretized and mixed demonstration balls ensure the accuracy of probabilistic events, and the balls are automatically collected after the demonstration, saving time and effort.

[0063] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0064] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0065] Reference Figures 1-3As shown, this embodiment provides a demonstration device for discrete mathematical probability experiments, including a test chamber 1. The top surface of the test chamber 1 is provided with a ball inlet 2. A stirring tank 3 is provided inside the test chamber 1 near the ball inlet 2. A stirring mechanism is provided at the bottom of the stirring tank 3. A first opening 4 is provided on one side of the stirring tank 3. The first opening 4 is connected to a ball outlet channel 5. The ball outlet channel 5 is connected to the outside of the test chamber 1. A limiting mechanism is provided above the ball outlet channel 5. The limiting mechanism is adapted to the first opening 4.

[0066] The experimental spheres are placed into the mixing tank 3 through the inlet 2 and thoroughly stirred by the stirring mechanism. Then, the limiting mechanism is activated to discharge the spheres from the mixing tank 3. At the same time, the limiting mechanism ensures that only one sphere is discharged from the outlet channel 5 at a time, so as to ensure the randomness of the experimental results.

[0067] The scheme is further optimized. The limiting mechanism includes a first connecting plate 6 fixed to the top of the test chamber 1. The first connecting plate 6 is fixed to the outer wall of the mixing tank 3. The first connecting plate 6 is provided with a first sliding groove 32. A first slider 7 is slidably connected in the first sliding groove 32. The first slider 7 is driven by a first driving part. The first driving part is fixed to the top surface of the first connecting plate 6. A first transmission rod 8 is fixed to the bottom surface of the first slider 7. A baffle 9 is fixed to the bottom surface of the first transmission rod 8. The baffle 9 is adapted to the ball outlet channel 5.

[0068] In a further optimized design, the first drive unit includes a first motor 10 fixed to the top surface of the first connecting plate 6, and the output shaft of the first motor 10 is fixed to a first lead screw 11, which is threadedly connected to the top of the first slider 7.

[0069] The initial position of the limiting plate is located on the side of the ball outlet channel 5 near the first opening 4. When it is necessary to discharge the ball, the first motor 10 is started. The output shaft of the first motor 10 drives the first lead screw 11 to rotate. The first lead screw 11 drives the first slider 7 to slide along the first slide groove 32, thereby causing the first transmission rod 8 to move the baffle box away from the first opening 4 and release the ball in the mixing box 3.

[0070] To further optimize the design, a ball outlet 12 is provided at the connection between the test chamber 1 and the ball outlet channel 5. A monitoring unit is provided above the ball outlet 12. The monitoring unit includes a second connecting plate 13 fixed inside the test chamber 1. A camera 14 is installed on the bottom surface of the second connecting plate 13. A blocking component is fixed to one end of the second connecting plate 13 away from the inner wall of the test chamber 1. The blocking component is located above the ball outlet channel 5.

[0071] The scheme is further optimized. The blocking component includes a third connecting plate 15 fixedly connected to the second connecting plate 13. A first electric telescopic rod 16 is fixedly connected to the bottom surface of the third connecting plate 15. A first connecting block 17 is fixedly connected to the bottom surface of the first electric telescopic rod 16. A first through hole 18 is provided in the first connecting block 17. A first connecting frame 19 is fixedly connected and connected to the side of the first through hole 18 near the ball outlet 12. A first cavity 20 is provided in the first connecting frame 19. A pushing component is fixedly connected in the first cavity 20.

[0072] The scheme is further optimized so that the pushing component includes a second electric telescopic rod 21 fixedly connected to the first cavity 20, and a push plate 22 is fixedly connected to the output end of the second electric telescopic rod 21.

[0073] When camera 14 detects a ball passing through ball outlet channel 5, it lowers the first electric telescopic rod 16 to block subsequent balls. Then, it activates the second electric telescopic rod 21, which extends to extend the push plate 22 and contact the ball, causing the ball to move towards the side closer to mixing tank 3. Then, it moves the baffle 9 towards the side closer to mixing tank 3. After the baffle 9 contacts the ball near the push plate 22, the push plate 22 retracts into the first cavity 20. The baffle 9 causes multiple balls on ball outlet channel 5 to return to mixing tank 3 to continue mixing.

[0074] In a further optimized design, the bottom surface of the mixing tank 3 is provided with a second sliding groove 23. The mixing mechanism includes a sliding part fixedly connected to the test chamber 1, and the mixing part is fixedly connected to the sliding part. The sliding part includes a slide rail 24 fixedly connected to the bottom surface of the test chamber 1. The slide rail 24 is located below the mixing tank 3. A second slider 25 is slidably connected to the slide rail 24. The mixing part is fixedly connected to the second slider 25. A second motor 26 is fixedly connected to the end of the slide rail 24 away from the inner wall of the test chamber 1. A second lead screw 27 is fixedly connected to the output shaft of the second motor 26. The second lead screw 27 is slidably connected to the second slider 25.

[0075] The bottom surface of the second mixing tank 3 is provided with a second chute 23, which increases the range of movement of the mixing part in the mixing tank 3. At the same time, the width of the second chute 23 is smaller than the diameter of the ball.

[0076] The further optimized design includes a stirring motor 28 fixed to the top surface of the second slider 25. The output shaft of the stirring motor 28 passes through the second slide groove 23 and extends into the stirring box 3. A stirring shaft 29 is fixed to one end of the output shaft of the stirring motor 28 that extends into the stirring box 3. Multiple stirring rods 30 are fixed to the stirring shaft 29 at equal intervals.

[0077] The stirring motor 28 causes the stirring rod 30 to stir in the mixing tank 3, thereby improving the mixing effect of the spheres.

[0078] To further optimize the design, a second opening 31 is provided above the ball outlet channel 5.

[0079] In the description of this invention, it should be understood that the terms "longitudinal", "lateral", "up", "down", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings, and are only for the convenience of describing this invention, and are not intended to indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this invention.

[0080] The embodiments described above are merely preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Various modifications and improvements made by those skilled in the art to the technical solutions of the present invention without departing from the spirit of the present invention should fall within the protection scope defined by the claims of the present invention.

Claims

1. A demonstration device for discrete mathematical probability experiments, characterized in that: The utility model provides a ball testing device, including test box (1), the top of test box (1) is equipped with ball inlet (2), one side of test box (1) is equipped with stirring box (3) near ball inlet (2), the bottom of stirring box (3) is equipped with stirring mechanism, one side of stirring box (3) is equipped with first opening (4), first opening (4) is connected with ball outlet channel (5), ball outlet channel (5) is connected outside test box (1), the top of ball outlet channel (5) is equipped with limiting mechanism, limiting mechanism is adapted with first opening (4).

2. The demonstration apparatus for discrete mathematical probability experiments according to claim 1, characterized in that: The limiting mechanism includes a first connecting plate (6) fixed to the top of the test box (1), the first connecting plate (6) is fixed to the outer wall of the stirring box (3), the first connecting plate (6) is provided with a first sliding groove (32), the first sliding groove (32) is slidably connected with a first sliding block (7), the first sliding block (7) is drivingly connected with a first driving part, the first driving part is fixed to the top surface of the first connecting plate (6), the bottom surface of the first sliding block (7) is fixedly connected with a first transmission rod (8), the bottom surface of the first transmission rod (8) is fixedly connected with a baffle (9), and the baffle (9) is adapted to the ball outlet channel (5).

3. The discrete mathematics probability experiment demonstration apparatus according to claim 2, wherein: The first driving part includes a first motor (10) fixed to the top surface of the first connecting plate (6), the output shaft of the first motor (10) is fixedly connected with a first lead screw (11), and the first lead screw (11) is threadedly connected with the top of the first sliding block (7).

4. The demonstration apparatus for discrete mathematical probability experiments according to claim 1, characterized in that: The test box (1) is provided with a ball outlet (12) at the connection with the ball outlet channel (5), a monitoring part is arranged above the ball outlet (12), the monitoring part includes a second connecting plate (13) fixedly connected to the test box (1), a camera (14) is mounted to the bottom surface of the second connecting plate (13), a blocking piece is fixedly connected to the end of the second connecting plate (13) away from the inner wall of the test box (1), and the blocking piece is arranged above the ball outlet channel (5).

5. The demonstration apparatus for discrete mathematical probability experiments according to claim 4, characterized in that: The blocking piece includes a third connecting plate (15) fixedly connected to the second connecting plate (13), a first electric telescopic rod (16) is fixedly connected to the bottom surface of the third connecting plate (15), a first connecting block (17) is fixedly connected to the bottom surface of the first electric telescopic rod (16), a first through hole (18) is arranged in the first connecting block (17), a first connecting frame (19) is fixedly connected and communicated to one side of the first through hole (18) close to the ball outlet (12), a first cavity (20) is arranged in the first connecting frame (19), and a pushing piece is fixedly connected in the first cavity (20).

6. The demonstration apparatus for discrete mathematical probability experiments according to claim 5, characterized in that: The pushing piece includes a second electric telescopic rod (21) fixedly connected in the first cavity (20), and a push plate (22) is fixedly connected to the output end of the second electric telescopic rod (21).

7. The demonstration apparatus for discrete mathematical probability experiments of claim 1, wherein: The bottom surface of the stirring box (3) is provided with a second sliding groove (23), the stirring mechanism comprises a sliding part fixed in the test box (1), the sliding part is fixed with a stirring part, the sliding part comprises a sliding rail (24) fixed in the bottom surface of the test box (1), the sliding rail (24) is located below the stirring box (3), the sliding rail (24) is slidably connected with a second sliding block (25), the second sliding block (25) is fixed with the stirring part, one end of the sliding rail (24) away from the inner wall of the test box (1) is fixed with a second motor (26), the output shaft of the second motor (26) is fixed with a second lead screw (27), and the second lead screw (27) is slidably connected with the second sliding block (25).

8. The demonstration apparatus for discrete mathematical probability experiments according to claim 7, characterized in that: The stirring part comprises a stirring motor (28) fixed on the top surface of the second sliding block (25), the output shaft of the stirring motor (28) penetrates through the second sliding groove (23) and extends into the stirring box (3), one end of the output shaft of the stirring motor (28) extending into the stirring box (3) is fixed with a stirring shaft (29), and a plurality of stirring rods (30) are fixed on the stirring shaft (29) at equal intervals.

9. The demonstration apparatus for discrete mathematical probability experiments according to claim 7, characterized in that: The upper portion of the ball outlet channel (5) is provided with a second opening (31).

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